Answer:
2.25
Step-by-step explanation:
Change the fraction so that the denominator is something that's a factor of 100
9/4 = x/100
9 x 25 = 225
-----------------------
4 x 25 = 100
225/100
Now divide to get your decimal
225/100 = 2.25
Which statement best describes a difference between electromagnetic waves and mechanical waves?
Answer: D
Step-by-step explanation: I just answered the question on the quiz and got it wrong (from a p e x)
2.95x+28=50
Please help
Answer:
x = 22 / 2.95 :)
Step-by-step explanation:
Alright, so 2.95x + 28 = 50.
This means, (subtracting 28) that
2.95x = 50 - 28 = 22
2.95x = 22
So...
x = 22 / 2.95 :)
Mark wants to improve his free throw percentage in basketball. He has shot 1250 free throws over the last 20 days. He shot either 50 or 100 free throws a day. Formulate and solve a system of equations to determine how many times Mark has shot 100 free throws for the day.
Answer:
Let's use a for number of days when he shot 50 shots and b for number of days when he shot 100 shots.
We have:
a + b = 20
We also know that he shot total of 1250 shots:
50a + 100 b = 1250
We have two equations. We can solve them for a and b. Let's rearange first equation for a:
a= 20 - b
We insert this into second equation:
50 * (20 - b ) + 100b = 1250
1000 - 50b + 100b = 1250
50b = 250
b = 5
a = 20 - 5
a = 15
Mark shot 100 shots on 5 day
Answer: x = 15, y = 5
Step-by-step explanation:
x + y = 20 The number of days equals 20
50x + 100y = 1250 The free throws per day add up to 1250
Solve by substituion:
rewrite the first equation to get the value for x
x = -y +20 Subsstitute for x in the second equation
50(-y +20) + 100y = 1250
-50y + 1000 + 100y = 1250 Subtract 1000 from both sides and simplify y
50y = 250 Divide both sides by 50
y = 5
substitute in the first equation and solve for x
x + 5 = 20
x = 15
Substitute into the second equation to check
50(15) + 100(5) = 1250
750 + 500 = 1250
1250 = 1250 True
And just for illustration, the attachment shows the graph of the solution, (15,5)
use it the number line to answer the following 2 questions . How many groups of 9 over 5 are in 1. Evaluate 6 divided by 9 over 5
Answer: The answer to your second question is 2/15
Step-by-step explanation:
6/9=2/3 and 2/3 divided by 5 or multiplied by 1/5 is 2/15
PICK A PRODUCT OF YOUR DREAM XX. State the Vision & Mission
statement. xx undertake research work on the dream product .(
assessment, feasibility & viability) xx. Discuss its production
and su
The chosen dream product is a solar-powered smart home automation system. The Vision & Mission statement is to create an environmentally sustainable and technologically advanced solution that enhances comfort, convenience, and energy efficiency in households. The production and successful implementation of this product require thorough research to assess its feasibility and viability, considering factors such as technological capabilities, market demand, and economic sustainability.
The Vision of the solar-powered smart home automation system is to revolutionize the way households interact with their living spaces by providing an environmentally sustainable solution. The Mission is to develop a state-of-the-art system that seamlessly integrates solar power generation, smart devices, and automation technologies to enhance comfort, convenience, and energy efficiency. This product aims to empower homeowners to reduce their carbon footprint while enjoying the benefits of a modern and connected lifestyle.
To undertake research work on the dream product, a comprehensive assessment is required. This involves evaluating the feasibility of integrating solar power generation with home automation technologies. Factors such as the availability of solar resources, technological advancements in energy storage, and the compatibility of smart devices with automation systems need to be investigated. Additionally, a market analysis is crucial to understand the demand for such a product, potential competition, and pricing considerations.
The research work also involves assessing the viability of the product from an economic perspective. This includes analyzing production costs, potential revenue streams, return on investment, and long-term sustainability. Careful consideration must be given to manufacturing processes, supply chain management, and scalability to ensure successful production and distribution of the product.
Overall, the development and successful implementation of a solar-powered smart home automation system require extensive research to assess its technical feasibility, market demand, and economic viability. By conducting a thorough assessment, the dream product can be evaluated effectively, paving the way for its production and subsequent success in the market.
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Marking brainlest if you answer ASAP!!!!plsss
Answer:
Add up the number of chocolate chips and then just search up waht is the median of ____.
Step-by-step explanation:
Hope this helped
When viewed from the front, the rope used to tie down a tent forms a pair of supplementary angles with the ground. Find $m\angle ABC$ .
Answer:
<ABC = 49°
Step-by-step explanation:
The sum of two supplementary angle is 180. From the diagram, the two angles are 3x+4 and 8x+11. IF this two angles are supplementary then;
3x+4+8x+11 = 180
11x+15= 180
11x = 180-15
11x = 165
x = 165/11
x = 15
From the attached diagram, <ABC = 3x+4
<ABC = 3(15)+4
<ABC = 45+4
<ABC = 49°
Plz help me on this one to plz
Answer:
The answers are............
4) D, 5) 0.75
this is my question
Answer:
c
Step-by-step explanation:
Answer:
Technically it is supposed to be 37.7 but in this case, the answer is C: 37.68 cm
Step-by-step explanation:
I am smart...Calibri is the superior font and green is the superior highlight color.
Solve the system by substitution.
12x + 6y + 72 = -35
7x - 5y – 6z= 200
x+y= -10
Step-by-step explanation:
12x+6y+72=-35
12x+6y=-35-72
12x+6y=-107 equation i
X+y=-10 equation ii
multiply by 6 on equation ii and subtract from equation i
12x+6y=-107
-6x-6y=60
6x=47
X=7.83333333
put the value of X on equation i
12×7.83333333+6y=-107
6y=-107-94
y=33.5
now
put the value of X and y on equation iii
7×7.83333333-5×33.5+6z=200
54.8333331-167.5+6z=200
-112.666667+6z=200
6z=200+112.666667
z=52.1111112
Question 2. (30 points): Consider the following linear program: maxx s.t. z=4x1+3x2+3x32x1+2x2+x3≤4,x1+3x2+x3≤9,x1,x2,x3≥0. Write down the dual LP, graphically solve the dual LP, and then use complimentary slackness conditions to find the set of optimal solutions of the primal LP.
The optimal solution for the primal LP is x1 = 0, x2 = 2, x3 = 2, with a maximum value of z = 16.
Let's start by writing down the dual LP. The dual LP is obtained by interchanging the roles of variables and constraints in the primal LP. The dual variables corresponding to the constraints are y1 and y2, representing the multipliers for the first and second constraint, respectively. The objective function of the dual LP is given by minimizing 4y1 + 9y2, and the dual LP subject to the dual constraints is as follows:
min 4y1 + 9y2 subject to:
2y1 + y2 ≥ 4
3y1 + 3y2 ≥ 3
y1, y2 ≥ 0
To graphically solve the dual LP, we can plot the feasible region defined by the dual constraints and find the point that minimizes the objective function. By solving the dual LP, we obtain y1 = 1/3 and y2 = 2/3, with a minimum value of 10/3. Now, using the complementary slackness conditions, we can find the set of optimal solutions for the primal LP. The conditions state that for any optimal solution, the product of the primal constraint and the dual variable must be zero. Since the primal constraints are inequalities, we consider them as equalities to check the conditions. For the first constraint, 2x1 + 2x2 + x3 = 4, we have y1(2x1 + 2x2 + x3 - 4) = 0, which gives y1 = 0. Similarly, for the second constraint, x1 + 3x2 + x3 = 9, we have y2(x1 + 3x2 + x3 - 9) = 0, which gives y2 = 0. Hence, the optimal solution for the primal LP is x1 = 0, x2 = 2, x3 = 2, with a maximum value of z = 16, satisfying the complementary slackness conditions.
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(b) Ten men can assemble 400 cycles in 8 days. How many cycles 5 men will
assemble if they work for 16 days?
Answer:
400
Step-by-step explanation
First, find how many cycles 5 man can make in 8 days.
400/2=200 (/ means divide)
Next, mutliply the answer to find out how many cycles 5 man can make in 16 days.
200x2=400
helpp!!!! i will mark as brainliest!!
solve i and ii ....
Answer: The value of x is 60 and two prime numbers are 2 and 3
Step-by-step explanation:
This is because 2 multiplied by 30 is 60 and 2 and 3 are prime numbers because their only factors are one and themselves.
Answer:
I) the value of X is 60
60=1×_
2×30
3×20
4×15
5×12
6×12
6×10 = 60
ii) 2 and 3 you also can put 5
Hope this helps
PLSSS HELP....Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data.
scatter plot titled students' data, with x-axis labeled study time in hours and y-axis labeled grade percent. Points are plotted at 1 comma 50, 2 comma 50, 2 comma 60, 2 comma 70, 3 comma 70, 3 comma 80, 4 comma 85, and 4 comma 90, and a line of fit drawn passing through the points 0 comma 30 and 2 comma 60
Determine the equation of the line of fit.
y = 15x + 60
y = 15x + 30
y = 30x + 60
y = 30x + 30
The equation of the Line of fit is y = 15x + 30.
The equation of the line of fit, we can use the two given points: (0, 30) and (2, 60).
First, we find the slope (m) of the line using the formula:
m = (change in y) / (change in x)
m = (60 - 30) / (2 - 0) = 30 / 2 = 15
The slope of the line is 15.
Next, we can use the point-slope form of a linear equation:
y - y₁ = m(x - x₁)
Using the point (2, 60):
y - 60 = 15(x - 2)
Simplifying the equation:
y - 60 = 15x - 30
Now, we can isolate y:
y = 15x - 30 + 60
y = 15x + 30
Therefore, the equation of the line of fit is y = 15x + 30.
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Consider the following data:
x 1 2 3 4 5
P(X=x) 0.1 0.2 0.3 0.2 0.2
Step 3 of 5:
Find the standard deviation. Round your answer to one decimal place.
Step 4 of 5:
Find the value of P(X≥5)P(X≥5). Round your answer to one decimal place.
Step 5 of 5:
Find the value of P(X≤3)P(X≤3). Round your answer to one decimal place.
The standard deviation is approximately 1.3, rounded to one decimal place. The values for P(X≥5) and P(X≤3) are approximately 0.2 and 0.6, respectively, rounded to one decimal place.
To determine the standard deviation, we first need to calculate the mean. We can do this by multiplying each value of 'x' by its corresponding probability and summing them up:
Mean (μ) = (1*0.1) + (2*0.2) + (3*0.3) + (4*0.2) + (5*0.2) = 0.1 + 0.4 + 0.9 + 0.8 + 1.0 = 3.2
Next, we can calculate the variance (σ^2) by squaring the differences between each 'x' value and the mean, multiplying by their probabilities, and summing them up:
Variance (σ²) =
[tex][(1-3.2)^2 * 0.1] + [(2-3.2)^2 * 0.2] + [(3-3.2)^2 * 0.3] + [(4-3.2)^2 * 0.2] + [(5-3.2)^2 * 0.2]= \\(-2.2)^2 * 0.1] + [(-1.2)^2 * 0.2] + [(-0.2)^2 * 0.3] + [(0.8)^2 * 0.2] + [(1.8)^2 * 0.2]= \\4.84 * 0.1 + 1.44 * 0.2 + 0.04 * 0.3 + 0.64 * 0.2 + 3.24 * 0.2= 0.484 + 0.288 + 0.012 + 0.128 + 0.648 \\= 1.56[/tex]
Finally, the standard deviation (σ) is the square root of the variance:
Standard Deviation (σ) = √1.56 ≈ 1.25 (rounded to one decimal place)
To find P(X≥5), we add up the probabilities of all 'x' values greater than or equal to 5:
P(X≥5) = P(X=5) = 0.2
To find P(X≤3), we add up the probabilities of all 'x' values less than or equal to 3:
P(X≤3) = P(X=1) + P(X=2) + P(X=3) = 0.1 + 0.2 + 0.3 = 0.6
Therefore, the values are:
Standard Deviation ≈ 1.3
P(X≥5) ≈ 0.2
P(X≤3) ≈ 0.6
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2
Type the correct answer in each box. Use numerals instead of words.
Complete the area model representing the polynomial x2 - 11x + 28. What is the factored form of the polynomial? Use the model to rewrite the
expression
X
-7
X
X2
-4X
(x+
(
-7)
Reset
Next
Answer:
blank 1 (in the graph) : -7x
blank 2 (in the graph) : 28
blank 3 (next to the graph) :-4
on the bottom equation blanks: -4 and then 7
bottom equation blanks should look like:
(x+-4) (7-7)
Solve the following, show all work for thumbs
up!
Calculate the matrix elements of a 4x4 matrix given
the following basis states and Hamiltonian where first term in the
Hamiltonian is the hopping
+ + H = =+ (C₁F C²₂₁ +²₁ √ (₂²) + C₂₁ C₁p + C₂ C₁4) +Unit+1^₂)) Hopping i hopp. interaction; int. where ris: Cis Cis is number operator Using the following information: 11)
Answer:
Yes
Step-by-step explanation:
2 (2k – 16) = -30 + 4k – 2
Can anyone help me with this
Answer:
0 =0
Both sides are equal
There are infinite solutions
Step-by-step explanation:
[tex]2 (2k - 16) = -30 + 4k - 2\\\\\mathrm{Subtract\:the\:numbers:}\:-30-2=-32\\2\left(2k-16\right)=4k-32\\\\\mathrm{Expand\:}2\left(2k-16\right):\quad 4k-32\\\\4k-32=4k-32\\\\\mathrm{Add\:}32\mathrm{\:to\:both\:sides}\\\\4k-32+32=4k-32+32\\\\Simplify\\\\4k =4k\\\\\mathrm{Subtract\:}4k\mathrm{\:from\:both\:sides}\\\\4k-4k=4k-4k\\\\Simplify\\\\0=0\\\\\mathrm{Both\:sides\:are\:equal}[/tex]
please help!!!
Example and Answer
Answer:
y=3x
Step-by-step explanation:
37:53 Bok Suppose that x has a binomial distribution with n=202 and p= 0.44. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal place
The mean (µ) and standard deviation (σ) of the binomial distribution with n=202 and p=0.44 are 88.88 and 7.8959, respectively. The probability of obtaining x=53 is approximately 0.0561, and the z-score for x=37 is -6.55.
To find the mean (µ) and standard deviation (σ) of the binomial distribution, we use the formulas µ = np and σ = sqrt(np(1-p)), where n is the number of trials and p is the probability of success.
Given n = 202 and p = 0.44, we can calculate the mean and standard deviation as follows:
µ = 202 * 0.44 = 88.88 (rounded to 2 decimal places)
σ = sqrt(202 * 0.44 * (1 - 0.44)) = 7.8959 (rounded to 4 decimal places)
Now, let's suppose we want to find the probability of obtaining a specific value of x, let's say x = 53. We can use the formula for the binomial probability:
[tex]P(x) = C(n, x) * p^x * (1 - p)^{n - x}[/tex]
Substituting the values, we have:
[tex]P(53) = C(202, 53) * (0.44)^{53} * (1 - 0.44)^{202 - 53}[/tex]
Using a binomial calculator or software, we can find the probability as approximately 0.0561 (rounded to 4 decimal places).
Finally, if we want to calculate the z-score for a given value of x, we can use the formula:
z = (x - µ) / σ
For x = 37, the z-score would be (37 - 88.88) / 7.8959 = -6.55 (rounded to 2 decimal places).
In conclusion, for a binomial distribution with n = 202 and p = 0.44, the mean is 88.88 and the standard deviation is 7.8959. The probability of obtaining x = 53 is approximately 0.0561. The z-score for x = 37 is -6.55.
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Paul is adding mulch along the edge of his driveway. There are 8 black fish, 5 white fish, and 3 gold fish. What is the ratio of gold fish to total fish? Select all that apply.
A: 3:16
B: 16:3
C: 3 to 16
D: 16 to 3
E: 3/16
F: 16/3
the single factor that made the hindu arabic number system superior to the other number systems is the
Answer:
invention of 0
Step-by-step explanation:
shows that it is possible to have nothing
what’s this
hdhshxbbsncjdkckskxbsh
Answer:
i dunno what that means but i think maybe your keyboard broke so the type of letters is random??
HELP NOW PLEASE I WILL GIVE BRAINLIEST IT'S URGENT!!!!!!
I need help filling in the equation for #30. My teacher asked me to fill in the blank.
y = ___ - 4x
Answer:
y=24-4x
Step-by-step explanation:
If you use this equation on any problem, you can see it will work. For (1,20) plug in the x and y variable, which is 20=24-4(1)
4(1)=4, so the equation is 20=24-4
24-4=20
20=20
Marcus has 27 pairs of gym shoes total. If 9 pairs of shoes are Jordans, what is the ratio of Jordans to non-Jordan shoes?
Answer:
17 to 9
Step-by-step explanation:
I think let me know if I'm wrong
Answer:
okay 9 of marcus shoes are jordans 17 of marcus shoes arn't jordans
Step-by-step explanation:
bc if you subtract 27-9 you can get 17
Find the value of x when: -2(3x - 5) = 52
Answer:
-7
Step-by-step explanation:
-2(3x-5)=52
-6x+10=52
-6x=52-10
-6x=42
x=42/-6
x=-7
find the constant of variation k for the direct variation
Answer:
The constant of variation is k = -2 ⇒ (B)
Step-by-step explanation:
The equation of the direct variation is y = k x, where
k is the constant of variationThe constant of variation k = [tex]\frac{y}{x}[/tex]The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)
We can use one of the points [except point (0, 0)] to find the value of k
∵ (-1, 2) is a given point
∴ x = -1 and y = 2
∵ k = [tex]\frac{y}{x}[/tex]
→ Substitute the values of x and y in the relation above
∴ k = [tex]\frac{2}{-1}[/tex]
∴ k = -2
The constant of variation is k = -2
Can some help me please because I got the correct answer but is saying it incorrect !
Answer:
i got 7 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Solve Z/5 - 4 = 2 1/3.
Z=
PLEASE HELP
Answer:
Z= 31.6666666666666666
Step-by-step explanation:
x/5 - 4 = 2 1/3
x/5 = 6 1/3
x=6 1/3 times 5
x=31.66 repeated
the volume of a rectangular pyramid is 512 units 3 3 . if the length of the rectangular base measures 8 units and the width of the rectangular base measures 12 units, find the height of the pyramid.
The height of the rectangular pyramid is 16 units.
To find the height of the rectangular pyramid, we can use the formula for the volume of a pyramid:
Volume = (1/3) * base area * height
Given that the volume of the rectangular pyramid is 512 units^3, and the length of the rectangular base is 8 units and the width is 12 units, we can find the base area:
Base Area = length * width = 8 * 12 = 96 units^2
Now we can substitute the values into the volume formula:
512 = (1/3) * 96 * height
To solve for the height, we can isolate it by multiplying both sides of the equation by 3/96:
512 * 3/96 = height
Simplifying the right side of the equation:
16 = height
The rectangular pyramid is 16 units tall as a result.
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